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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="algorithm.Searching"></a><a class="link" href="Searching.html" title="Searching Algorithms">Searching Algorithms</a>
</h2></div></div></div>
<div class="toc"><dl class="toc">
<dt><span class="section"><a href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore">Boyer-Moore
      Search</a></span></dt>
<dt><span class="section"><a href="../the_boost_algorithm_library/Searching/BoyerMooreHorspool.html">Boyer-Moore-Horspool
      Search</a></span></dt>
<dt><span class="section"><a href="../the_boost_algorithm_library/Searching/KnuthMorrisPratt.html">Knuth-Morris-Pratt
      Search</a></span></dt>
</dl></div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="the_boost_algorithm_library.Searching.BoyerMoore"></a><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore" title="Boyer-Moore Search">Boyer-Moore
      Search</a>
</h3></div></div></div>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h0"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.overview"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.overview">Overview</a>
      </h5>
<p>
        The header file 'boyer_moore.hpp' contains an implementation of the Boyer-Moore
        algorithm for searching sequences of values.
      </p>
<p>
        The Boyer&#8211;Moore string search algorithm is a particularly efficient string
        searching algorithm, and it has been the standard benchmark for the practical
        string search literature. The Boyer-Moore algorithm was invented by Bob Boyer
        and J. Strother Moore, and published in the October 1977 issue of the Communications
        of the ACM , and a copy of that article is available at <a href="http://www.cs.utexas.edu/~moore/publications/fstrpos.pdf" target="_top">http://www.cs.utexas.edu/~moore/publications/fstrpos.pdf</a>.
      </p>
<p>
        The Boyer-Moore algorithm uses two precomputed tables to give better performance
        than a naive search. These tables depend on the pattern being searched for,
        and give the Boyer-Moore algorithm larger a memory footprint and startup
        costs than a simpler algorithm, but these costs are recovered quickly during
        the searching process, especially if the pattern is longer than a few elements.
      </p>
<p>
        However, the Boyer-Moore algorithm cannot be used with comparison predicates
        like <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">search</span></code>.
      </p>
<p>
        Nomenclature: I refer to the sequence being searched for as the "pattern",
        and the sequence being searched in as the "corpus".
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h1"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.interface"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.interface">Interface</a>
      </h5>
<p>
        For flexibility, the Boyer-Moore algorithm has two interfaces; an object-based
        interface and a procedural one. The object-based interface builds the tables
        in the constructor, and uses operator () to perform the search. The procedural
        interface builds the table and does the search all in one step. If you are
        going to be searching for the same pattern in multiple corpora, then you
        should use the object interface, and only build the tables once.
      </p>
<p>
        Here is the object interface:
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">patIter</span><span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">boyer_moore</span> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
    <span class="identifier">boyer_moore</span> <span class="special">(</span> <span class="identifier">patIter</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">patIter</span> <span class="identifier">last</span> <span class="special">);</span>
    <span class="special">~</span><span class="identifier">boyer_moore</span> <span class="special">();</span>

    <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">corpusIter</span><span class="special">&gt;</span>
    <span class="identifier">corpusIter</span> <span class="keyword">operator</span> <span class="special">()</span> <span class="special">(</span> <span class="identifier">corpusIter</span> <span class="identifier">corpus_first</span><span class="special">,</span> <span class="identifier">corpusIter</span> <span class="identifier">corpus_last</span> <span class="special">);</span>
    <span class="special">};</span>
</pre>
<p>
      </p>
<p>
        and here is the corresponding procedural interface:
      </p>
<p>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">patIter</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">corpusIter</span><span class="special">&gt;</span>
<span class="identifier">corpusIter</span> <span class="identifier">boyer_moore_search</span> <span class="special">(</span>
        <span class="identifier">corpusIter</span> <span class="identifier">corpus_first</span><span class="special">,</span> <span class="identifier">corpusIter</span> <span class="identifier">corpus_last</span><span class="special">,</span>
        <span class="identifier">patIter</span> <span class="identifier">pat_first</span><span class="special">,</span> <span class="identifier">patIter</span> <span class="identifier">pat_last</span> <span class="special">);</span>
</pre>
<p>
      </p>
<p>
        Each of the functions is passed two pairs of iterators. The first two define
        the corpus and the second two define the pattern. Note that the two pairs
        need not be of the same type, but they do need to "point" at the
        same type. In other words, <code class="computeroutput"><span class="identifier">patIter</span><span class="special">::</span><span class="identifier">value_type</span></code>
        and <code class="computeroutput"><span class="identifier">curpusIter</span><span class="special">::</span><span class="identifier">value_type</span></code> need to be the same type.
      </p>
<p>
        The return value of the function is an iterator pointing to the start of
        the pattern in the corpus. If the pattern is not found, it returns the end
        of the corpus (<code class="computeroutput"><span class="identifier">corpus_last</span></code>).
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h2"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.performance"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.performance">Performance</a>
      </h5>
<p>
        The execution time of the Boyer-Moore algorithm, while still linear in the
        size of the string being searched, can have a significantly lower constant
        factor than many other search algorithms: it doesn't need to check every
        character of the string to be searched, but rather skips over some of them.
        Generally the algorithm gets faster as the pattern being searched for becomes
        longer. Its efficiency derives from the fact that with each unsuccessful
        attempt to find a match between the search string and the text it is searching,
        it uses the information gained from that attempt to rule out as many positions
        of the text as possible where the string cannot match.
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h3"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.memory_use"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.memory_use">Memory
        Use</a>
      </h5>
<p>
        The algorithm allocates two internal tables. The first one is proportional
        to the length of the pattern; the second one has one entry for each member
        of the "alphabet" in the pattern. For (8-bit) character types,
        this table contains 256 entries.
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h4"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.complexity"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.complexity">Complexity</a>
      </h5>
<p>
        The worst-case performance to find a pattern in the corpus is <span class="emphasis"><em>O(N)</em></span>
        (linear) time; that is, proportional to the length of the corpus being searched.
        In general, the search is sub-linear; not every entry in the corpus need
        be checked.
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h5"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.exception_safety"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.exception_safety">Exception
        Safety</a>
      </h5>
<p>
        Both the object-oriented and procedural versions of the Boyer-Moore algorithm
        take their parameters by value and do not use any information other than
        what is passed in. Therefore, both interfaces provide the strong exception
        guarantee.
      </p>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h6"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.notes"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.notes">Notes</a>
      </h5>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
            When using the object-based interface, the pattern must remain unchanged
            for during the searches; i.e, from the time the object is constructed
            until the final call to operator () returns.
          </li>
<li class="listitem">
            The Boyer-Moore algorithm requires random-access iterators for both the
            pattern and the corpus.
          </li>
</ul></div>
<h5>
<a name="the_boost_algorithm_library.Searching.BoyerMoore.h7"></a>
        <span class="phrase"><a name="the_boost_algorithm_library.Searching.BoyerMoore.customization_points"></a></span><a class="link" href="Searching.html#the_boost_algorithm_library.Searching.BoyerMoore.customization_points">Customization
        points</a>
      </h5>
<p>
        The Boyer-Moore object takes a traits template parameter which enables the
        caller to customize how one of the precomputed tables is stored. This table,
        called the skip table, contains (logically) one entry for every possible
        value that the pattern can contain. When searching 8-bit character data,
        this table contains 256 elements. The traits class defines the table to be
        used.
      </p>
<p>
        The default traits class uses a <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">array</span></code>
        for small 'alphabets' and a <code class="computeroutput"><span class="identifier">tr1</span><span class="special">::</span><span class="identifier">unordered_map</span></code>
        for larger ones. The array-based skip table gives excellent performance,
        but could be prohibitively large when the 'alphabet' of elements to be searched
        grows. The unordered_map based version only grows as the number of unique
        elements in the pattern, but makes many more heap allocations, and gives
        slower lookup performance.
      </p>
<p>
        To use a different skip table, you should define your own skip table object
        and your own traits class, and use them to instantiate the Boyer-Moore object.
        The interface to these objects is described TBD.
      </p>
</div>
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<td align="right"><div class="copyright-footer">Copyright &#169; 2010-2012 Marshall Clow<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
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